Octet and decuplet baryon 
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 terms and mass decompositions

M., Copeland, P.; Ji, Chueng-Ryong; Melnitchouk, Wally

doi:10.1103/physrevd.107.094041

Phys. Rev. D

2023

DOI: 10.1103/physrevd.107.094041

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Octet and decuplet baryon σ terms and mass decompositions

Copeland, P. M.

Chueng-Ryong Ji

Wally Melnitchouk

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2024

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Cited by 2 publications

References 55 publications

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Chiral analysis of the nucleon mass and sigma commutator

Owa,

Leinweber,

Thomas

et al. 2024

Phys. Rev. D

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Schemes for describing the light quark mass dependence of the nucleon mass calculated in lattice QCD are compared. The three schemes in consideration include a fully relativistic and Lorentz covariant scheme, one that is fully relativistic but not Lorentz covariant, and a semirelativistic scheme utilizing the heavy baryon approximation. Calculations of observables involving pseudoscalar meson loop diagrams generate nonanalytic terms proportional to square roots and logarithms of the quark mass. The three schemes all yield the correct model-independent leading and next-to-leading nonanalytic terms of the chiral expansion of the baryon mass. Results for the masses of the other members of the octet are also presented. Here, low-energy coefficients of the analytic terms of the expansion for the nucleon and hyperons are constrained by lattice QCD results and are demonstrated to be independent of the renormalization scheme used. The differences in the leading coefficient of the chiral expansions are found to be consistent with strange quark counting. Using the schemes examined herein, we report results for the pion-nucleon sigma commutator based upon recent lattice results from the CLS Collaboration. We find σπN=51.7±3.2±1.4 MeV, where the uncertainties are statistical and systematic, respectively. Published by the American Physical Society 2024

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Chiral analysis of the nucleon mass and sigma commutator

Owa,

Leinweber,

Thomas

et al. 2024

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

Transverse momentum dependent PDFs in chiral effective theory

Copeland,

Mehen

2024

Phys. Rev. D

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We develop a theoretical framework to match transverse momentum dependent parton distribution functions (TMD PDFs) onto chiral effective theory operators. In this framework the TMD PDF is expressed as a convolution of TMD hadronic distribution functions, which describe fluctuations of initial states into intermediate hadrons in chiral perturbation theory, and short distance matching coefficients, which are the TMD PDFs of intermediate hadrons in the chiral limit. The various limits of the matching condition are explored and an operator product expansion is applied to the high energy TMD matching coefficients, allowing them to be written in terms of the collinear valence PDFs of intermediate hadrons. As an example, we calculate the isovector TMD hadronic distribution functions for the proton at leading order in the chiral expansion. Published by the American Physical Society 2024

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Octet and decuplet baryon σ terms and mass decompositions

Cited by 2 publications

References 55 publications

Chiral analysis of the nucleon mass and sigma commutator

Chiral analysis of the nucleon mass and sigma commutator

Transverse momentum dependent PDFs in chiral effective theory

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